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arXiv:1912.07053 · The European Physical Journal D

Geometric phase of Wannier–Stark ladders in alkaline-earth(-like) atoms

De-Huan Cai, Wei Yi

Published Jan 1, 2021• 25 citations
arXivHTMLPDF
DOI
10.1140/epjd/s10053-020-00003-5

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The Stark effects of the Rydberg states in the alkaline-earth atoms are studied theoretically. Using a method similar to the treatment of alkali atoms, the properties of the Stark states of Mg, Ca, Sr and Ba atoms in the regions far away from the perturbers are investigated. The Stark maps for Mg ( n = 16, M = 0), Ca ( n = 10, M = 0), Sr ( n = 12, M = 0) and Ba ( n = 13, | M | = 0, 1) are presented. Topics such as the general methods of calculation, the treatment of fine structure and the structure of level anti-crossings are discussed. The comparison between the theoretical and experimental Stark maps is satisfactory.
We report the first observation of atomic Wannier-Stark ladders in a potential formed by an accelerating standing wave of light.1 This is a fundamental effect of quantum transport in optical lattices. Wannier-Stark ladder resonances were predicted to occur in the band structure of an electron moving in a periodic lattice with a dc electric field, and have been recently observed in superlattices. Our work is the first spectroscopic study of Wannier-Stark ladders free from complications such as the impurities, lattice vibrations, and multi-particle interactions present in solids.
We propose to synthesize tunable periodic gauge fields via Floquet engineering cold alkaline-earth atoms in one-dimensional optical lattice. The artificial magnetic flux is designed to emerge during the combined process of Floquet photon assisted tunneling and internal state transitions. By varying initial phases of driving protocol, our proposal presents the ability to smoothly tune the periodic flux. Moreover, we demonstrate that the effective two-leg flux ladder model can simulate one typical real topological insulator, which is described by the first Stiefel Whitney class and protected by the PTPTPT symmetry. Benefiting from the long lifetime of excited states of alkaline-earth atoms, our work opens new possibilities for exploiting the physics related to gauge fields, such as topological phases, in the current cold atom platform.